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Klio2033 [76]
3 years ago
8

Owen settled on a price of $7,870 for a new car. The dealer had to add 4.5% sales tax to this price, but allowed a $1,200 trade-

in for Owen's old car. Although not a universal practice, please add the sales tax to the price of the new car first and then deduct the trade- in value. If the dealer required a 15% down payment, calculate the amount of the purchase price that Owen financed.
Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
Multiply the numbers by the percent but first convert the percent into a decimal then after u multiply add that number to the tottal
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A(n)=-14+3(n-1)(2)<br> find A(9)
Romashka [77]

Answer: 34

Step-by-step explanation:

Substitute n with 9

-14+3(9-1)(2)

-14+3(8)(2)

= 34

7 0
2 years ago
Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =
irga5000 [103]

Answer:  The required solution is y=50e^{0.1386t}.

Step-by-step explanation:

We are given to solve the following differential equation :

\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

\dfrac{dy}{y}=kdt.

Integrating both sides, we get

\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]

Also, the conditions are

y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50

and

y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.

Thus, the required solution is y=50e^{0.1386t}.

8 0
3 years ago
Read 2 more answers
The number name of 70080067 <br>In Indian System​
zloy xaker [14]

Answer:

Seven crore eighty thousands sixty-seven.

Step-by-step explanation:

70080067

Seven crore eighty thousands sixty-seven.

3 0
3 years ago
Solve the equation.<br> -1/6x - 5 = 2/3x<br> Please type step-by-step explanation.
Debora [2.8K]

Answer: Solution

=

−

6

Step-by-step explanation:

8 0
2 years ago
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Find the selling price. Where necessary, round to the nearest cent. Regular price:$14.99. Percent of discount:15%
RSB [31]

Answer:

the price is approximately $12.75

Step-by-step explanation:

4 0
3 years ago
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